Estimation of Parameters and Recognition of Images of Three-Dimensional Objects with Disordered Samples

被引:0
|
作者
Rozhentsov, A. A. [1 ]
Baev, A. A. [1 ]
Naumov, A. S. [1 ]
机构
[1] Mari State Tech Univ, Pl Lenina 3, Yoshkar Ola 424000, Russia
基金
俄罗斯基础研究基金会;
关键词
quaternions; recognition; contours of three-dimensional images; functions of a hypercomplex variable; invariance to ordering;
D O I
10.3103/S8756699010010061
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An approach to processing images of three-dimensional objects which does not require knowledge of the ordering of the samples specifying the coordinates of points on the object surface is considered. The approach is based on obtaining a secondary analytical description of an object in the form of a polynomial function of a hypercomplex variable that projects samples of the object surface onto a sphere. It is shown that the method allows one to estimate scaling and rotation parameters and to recognize three-dimensional objects from polynomial coefficients. The performance of the proposed algorithms was estimated in experiments using images of real objects and mathematical models.
引用
收藏
页码:46 / 55
页数:10
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